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Finding the Fourth Proportional to 22,653.46, 33,968.04 and 9,502.30

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Solution

The fourth proportional to 22,653.46, 33,968.04 and 9,502.30 is: 14,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.46 : 33,968.04 = 9,502.30 : x
  2. Step 2: Convert to fraction form
    22,653.46/33,968.04 = 9,502.30/x
  3. Step 3: Cross multiply
    22,653.46x = 33,968.04 × 9,502.30
  4. Step 4: Simplify right side
    22,653.46x = 322,774,506.49
  5. Step 5: Solve for x
    x = 322,774,506.49/22,653.46
  6. Step 6: Final answer
    x = 14,248.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.